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The language of Graphs - Presentation

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El lenguage de gráficos, presentación para alumnos de primer curso de la ESO. The language of graphs presentation for students of the first year.

El lenguage de gráficos, presentación para alumnos de primer curso de la ESO. The language of graphs presentation for students of the first year.

Published in: Education, Technology, Sports

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  • 1. The language of graphs Mathematics. 1st Year Secondary Education
  • 2. You know…  Cartesian coordinate system x-axis: horizontal y-axis: vertical Origin: point (o,o)  To plot points on a graph P (3,5): “ordered pair” (3 units to the right, and 5 units up)  To plot the graph of a function y = 2x + 1
  • 3. “You have to be able to understand the qualitative meaning of a graph” “Let’s practice together…”
  • 4. Hamilton Alonso Vettel Podiums World Championships Podiums WorldChampionships A H V “Who has more Podiums?” “Who has won more World Championships?” H: Hamilton A: Alonso V: Vettel
  • 5. Hamilton Alonso Vettel Podiums World Championships Podiums WorldChampionships A H V “Who has more Podiums?” ALONSO “Who has won more World Championships?” VETTEL H: Hamilton A: Alonso V: Vettel
  • 6. Hamilton Alonso Vettel Podiums 56 95 64 World Championships 1 2 4 Podiums WorldChampionships A H V “Who has more Podiums?” ALONSO “Who has won more World Championships?” VETTEL H: Hamilton A: Alonso V: Vettel
  • 7. 1. The Bus Stop Queue Point 7 represents…
  • 8. 1. The Bus Stop Queue Point 7 represents Gavin “He is the shortest and youngest person” 7
  • 9. 1. The Bus Stop Queue Point 6 represents… 7
  • 10. 1. The Bus Stop Queue Point 6 represents Cathy “She is taller than Gavin but shorter than the rest of the people” 7 6
  • 11. 1. The Bus Stop Queue Points 2 and 5 represent… 7 6
  • 12. 1. The Bus Stop Queue Points 2 and 5 represent Alice or Errol “They are the tallest” Point 2 represents… 7 6
  • 13. 1. The Bus Stop Queue Points 2 and 5 represent Alice or Errol “They are the tallest” Point 2 represents Alice “She is one of the tallest and older than Errol” So point 5 represents… 7 62
  • 14. 1. The Bus Stop Queue Points 2 and 5 represent Alice or Errol “They are the tallest” Point 2 represents Alice “She is one of the tallest and older than Errol” So point 5 represents Errol “He is one of the tallest and younger than Alice” 7 62 5
  • 15. 1. The Bus Stop Queue Point 3 represents… 7 62 5
  • 16. 1. The Bus Stop Queue Point 3 represents Freda “She is shorter than Alice and Errol but taller than the rest of the people” 7 62 25
  • 17. 1. The Bus Stop Queue Points 1 and 4 represent… 7 62 5 2
  • 18. 1. The Bus Stop Queue Points 1 and 4 represent Brendaor Dennis “They have the same height” Point 1 represents… 7 62 5 2
  • 19. 1. The Bus Stop Queue Points 1 and 4 represent Brenda or Dennis “They have the same height” Point 1 represents Dennis “He is older than Brenda” So point 4 represents… 7 62 5 21
  • 20. 1. The Bus Stop Queue Points 1 and 4 represent Brenda or Dennis “They have the same height” Point 1 represents Dennis “He is older than Brenda” So point 4 represents Brenda “She is younger than Dennis” 7 62 5 214
  • 21. 1. The Bus Stop Queue 7 62 5 214
  • 22. 2. Planes A (Dusty) B (Siddeley)
  • 23. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B
  • 24. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive than airplane A
  • 25. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive tan airplane A  The older airplane is cheaper
  • 26. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive tan airplane A  The older airplane is cheaper
  • 27. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive tan airplane A  The older airplane is cheaper  The faster airplane is smaller
  • 28. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive tan airplane A  The older airplane is cheaper  The faster airplane is smaller
  • 29. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive tan airplane A  The older airplane is cheaper  The faster airplane is smaller  The larger airplane is older
  • 30. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive tan airplane A  The older airplane is cheaper  The faster airplane is smaller  The larger airplane is older
  • 31. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive tan airplane A  The older airplane is cheaper  The faster airplane is smaller  The larger airplane is older  The cheaper airplane carries fewer passengers
  • 32. 2. Planes A (Dusty) B (Siddeley)  Airplane A is older than airplane B  Airplane B is more expensive tan airplane A  The older airplane is cheaper  The faster airplane is smaller  The larger airplane is older  The cheaper airplane carries fewer passengers
  • 33. 2. Planes A (Dusty) B (Siddeley)
  • 34. 3. Which Graph? The 100 metres race. The men's world record is 9.58 seconds, set by Usain Bolt 0,00 2,00 4,00 6,00 8,00 10,00 12,00 0 50 100 150SPEED DISTANCE GRAPH 3 0 2 4 6 8 10 12 0 50 100 150 SPEED DISTANCE GRAPH 1 0 2 4 6 8 10 12 0 50 100 150 SPEED DISTANCE GRAPH 2
  • 35. 0,00 2,00 4,00 6,00 8,00 10,00 12,00 0 20 40 60 80 100 120 140 SPEED DISTANCE GRAPH 3 3. Which Graph?
  • 36. To sum up… Graphsare very useful to draw conclusionsfrom different set of data and to find if there is a correlation between them. http://www.nytimes.com/interactive/2012/08/05/sports/olympics/the-100-meter-dash-one-race-every-medalist-ever.html?_r=0
  • 37. The language of graphs Mathematics. 1st Year Secondary Education

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